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Finding the Third Proportional to 54,303,510,438 and 116,906,287,680

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Solution

The third proportional to 54,303,510,438 and 116,906,287,680 is: 251,679,495,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,303,510,438 : 116,906,287,680 = 116,906,287,680 : x
  2. Step 2: Convert to fraction form
    54,303,510,438/116,906,287,680 = 116,906,287,680/x
  3. Step 3: Cross multiply
    54,303,510,438x = 116,906,287,680 × 116,906,287,680
  4. Step 4: Simplify right side
    54,303,510,438x = 13,667,080,099,118,920,499,200
  5. Step 5: Solve for x
    x = 13,667,080,099,118,920,499,200/54,303,510,438
  6. Step 6: Final answer
    x = 251,679,495,282.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.